Description

Book Synopsis
The theory of generalized inverses of real or complex matrices has been expertly developed and documented. But the generalized inverses of matrices over rings have received comprehensive treatment only recently. In this book, the author, who contributed to the research and development of the theory, explains his results. He explores regular elements in a ring, regular matrices over principal ideal rings, and regular matrices over commutative rings. Students, mathematicians working in g-inverses of matrices, along with algebraists, and control theorists will find new and indispensable data, presented with clarity and insight. This book is also well suited to graduate courses on g-inverses in algebra.

Table of Contents
Elementary Results on Rings. Matrix Algebra Over Rings. Regular Elements in a Ring. Regularity - Principal Ideal Rings. Regularity - Basics. Regularity - Integral Domains. Regularity - Commutative Rings. Special Topics.

Theory of Generalized Inverses Over Commutative

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    A Hardback by K.P.S. Bhaskara Rao

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      View other formats and editions of Theory of Generalized Inverses Over Commutative by K.P.S. Bhaskara Rao

      Publisher: Taylor & Francis Ltd
      Publication Date: 21/03/2002
      ISBN13: 9780415272483, 978-0415272483
      ISBN10: 0415272483
      Also in:
      Mathematics Algebra

      Description

      Book Synopsis
      The theory of generalized inverses of real or complex matrices has been expertly developed and documented. But the generalized inverses of matrices over rings have received comprehensive treatment only recently. In this book, the author, who contributed to the research and development of the theory, explains his results. He explores regular elements in a ring, regular matrices over principal ideal rings, and regular matrices over commutative rings. Students, mathematicians working in g-inverses of matrices, along with algebraists, and control theorists will find new and indispensable data, presented with clarity and insight. This book is also well suited to graduate courses on g-inverses in algebra.

      Table of Contents
      Elementary Results on Rings. Matrix Algebra Over Rings. Regular Elements in a Ring. Regularity - Principal Ideal Rings. Regularity - Basics. Regularity - Integral Domains. Regularity - Commutative Rings. Special Topics.

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